I have done all those steps you suggest and got nowhere so decided to post on Lancashire forum in the hope someone knew the family.
Did you try placing an order with the GRO in the way I suggested? If you were unsuccessful, what reason was given?
I guess I shall have to persuade my husband to book a few days in Preston and Manchester so that I can visit the libraries there. I have found librarians a valuable source for information...
True, but they don't hold birth registrations or issue birth certificates. You can only get these via the GRO or the register office for the district where the birth was registered, and on the face of it, there's no obvious reason why you shouldn't be able to get the one you're looking for.
You can visit a register office and deal with them in person (an appointment might be needed), but they're all used to dealing with applications by some or all of post, internet or telephone. Do bear in mind, though, that according to the indexes, the birth was registered in Manchester, so the Preston register office won't be able to help.